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Finding the Third Proportional to 102,300.19 and 238,966.31

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Solution

The third proportional to 102,300.19 and 238,966.31 is: 558,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300.19 : 238,966.31 = 238,966.31 : x
  2. Step 2: Convert to fraction form
    102,300.19/238,966.31 = 238,966.31/x
  3. Step 3: Cross multiply
    102,300.19x = 238,966.31 × 238,966.31
  4. Step 4: Simplify right side
    102,300.19x = 57,104,898,509.85
  5. Step 5: Solve for x
    x = 57,104,898,509.85/102,300.19
  6. Step 6: Final answer
    x = 558,209.13

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.